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121012020102020 = 225192911299726419
BaseRepresentation
bin11011100000111101001110…
…011110001100001110000100
3120212110122011202010220120012
4123200331032132030032010
5111330130104121231040
61105212053215525352
734326554445132335
oct3340751636141604
9525418152126505
10121012020102020
1135615a00630713
12116a4b34829858
13526a4cca779c8
1421c5027a4828c
15decc012ad865
hex6e0f4e78c384

121012020102020 has 96 divisors (see below), whose sum is σ = 276969535920000. Its totient is φ = 44236682800128.

The previous prime is 121012020102013. The next prime is 121012020102109. The reversal of 121012020102020 is 20201020210121.

It is a junction number, because it is equal to n+sod(n) for n = 121012020101986 and 121012020102004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7578371 + ... + 17304789.

It is an arithmetic number, because the mean of its divisors is an integer number (2885099332500).

Almost surely, 2121012020102020 is an apocalyptic number.

121012020102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121012020102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138484767960000).

121012020102020 is an abundant number, since it is smaller than the sum of its proper divisors (155957515817980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121012020102020 is a wasteful number, since it uses less digits than its factorization.

121012020102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9727605 (or 9727603 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 121012020102020 its reverse (20201020210121), we get a palindrome (141213040312141).

The spelling of 121012020102020 in words is "one hundred twenty-one trillion, twelve billion, twenty million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 19 20 29 38 58 76 95 116 145 190 290 380 551 580 1102 1129 2204 2258 2755 4516 5510 5645 11020 11290 21451 22580 32741 42902 65482 85804 107255 130964 163705 214510 327410 429020 622079 654820 1244158 2488316 3110395 6220790 9726419 12441580 19452838 38905676 48632095 97264190 184801961 194528380 282066151 369603922 564132302 739207844 924009805 1128264604 1410330755 1848019610 2820661510 3696039220 5359256869 5641323020 10718513738 10981127051 21437027476 21962254102 26796284345 43924508204 53592568690 54905635255 107185137380 109811270510 208641413969 219622541020 318452684479 417282827938 636905368958 834565655876 1043207069845 1273810737916 1592263422395 2086414139690 3184526844790 4172828279380 6050601005101 6369053689580 12101202010202 24202404020404 30253005025505 60506010051010 121012020102020